Annuals of the Disaster Prevention Research Institute, 46 B, 331-336
Development of high-presicion nonhydrostatic atmospheric moddel (1): Governing equations
By Takehiko Satomura and Sayaka Akiba
Abstract
For atmospheric sciences in the 21st century, atmospheric numerical models with
high precision are indispensable tools to be an exact science. Development of nonhydrostatic
models based on fully compressible dynamic equations in particular are
given high priority because they use the least approximation in dynamics. In this
paper, we examined accuracy of finite difference expressions of equations used in nonhydrostatic
fully compressible models. It is found that to make a set of flux form
equations is difficult under the constraint of satisfaction of hydrostatic balance with
high precision. It is also found the set of equations we propose here are not fully flux
form but have good conservation characteristics.